SOLUTION: Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible.
(-1, 3) and (4,-2)
Thanks alot,
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-> SOLUTION: Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible.
(-1, 3) and (4,-2)
Thanks alot,
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Question 112876This question is from textbook Beginning Algebra
: Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible.
(-1, 3) and (4,-2)
Thanks alot, I am not not understanding the concept of slopes and intercepts fully yet. This question is from textbook Beginning Algebra
You can put this solution on YOUR website! Write the equation of the line passing through each of the given pairs of points. Write your result in slope-intercept form, where possible.
(-1, 3) and (4,-2)
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First find the slope using the slope (m) equation: m =
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In your problems we will assign the coordinates as follows:
x1 = -1; y1 = 3; x2 = 4; y2 =-2
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Substitute these in the slope equation:
m = = ; minus a minus = plus
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m = = -1 is the slope
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Next use the point/slope equation which is y - y1 - m(x - x1)
We know x1 y1 and m, substitute these in the equation
y - 3 = -1(x - (-1)
y - 3 = -1(x + 1)
y - 3= -x - 1
y = -x - 1 + 3
y = -x + 2 is the slope intercept form
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You can confirm this by substituting the given values for x and see if the equal the give values for y
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Note that the intercept (which is the y intercept) always occurs when x = 0
Therefore in this equation the y intercept is +2
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The x intercept occurs when y = 0, use the equation to find that
-x + 2 = 0
-x = -2
x = +2; x has to positive, multiply equation -1 if necessary
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If you graphed this, it's even more apparent.
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How about this? Did it shed some light on this stuff
